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Finding the Fourth Proportional to 229.65, 343.89 and 148.38

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Solution

The fourth proportional to 229.65, 343.89 and 148.38 is: 222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.65 : 343.89 = 148.38 : x
  2. Step 2: Convert to fraction form
    229.65/343.89 = 148.38/x
  3. Step 3: Cross multiply
    229.65x = 343.89 × 148.38
  4. Step 4: Simplify right side
    229.65x = 51,026.40
  5. Step 5: Solve for x
    x = 51,026.40/229.65
  6. Step 6: Final answer
    x = 222.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.